Question # A university found that of its students withdraw without completing the introductory statistics course. Assume that students registered for the course

Decimals
ANSWERED  “A university found that of its students withdraw without completing the introductory statistics course” here percentage is not given. Let us assume that p of its student withdraw without completing in the course. The number of students registered for the course is n $$X \sim \text{Bin} (n, p)$$ Part (a): Compute the probability that or fewer will withdraw (to 4 decimals) Here let us assume that we have to find the probability that m or fever will withdraw. By the definition of mass function of X is given as: $$P(X=x)=\left(\begin{array}{a}n\\ x\end{array}\right) \times p^{x}\times (1-p)^{n-x}$$
$$P(X\leq m)=[P(X=0)+P(X=1)+...+P(X=m-1)]$$ Part (b): Compute the probability that exactly will withdraw (to 4 decimals). Here also the exact number is not given. Now assume that exactly m’ will withdraw. The probability that exactly m’ will withdraw: $$P(X=m')=\left(\begin{array}{c}n\\ m'\end{array}\right)\times p^{x}\times (1-p)^{n-m}$$ Part (c): Compute the probability that more than M will withdraw (to 4 decimals). Assume that the required number is M. The probability that more than M will withdraw: $$P (X > M) = 1 - P (X \leq M)$$